Find the LCM of 754, 203, 673, 667, 843 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 754, 203, 673, 667, 843. So, keep reading to learn more.
Given numbers are 754,203,673,667,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,203,673,667,843 is 68871550566.
Find LCM of 754,203,673,667,843 with Prime Factorization
29 | 754, 203, 673, 667, 843 |
26, 7, 673, 23, 843 |
Multiply the prime numbers at the bottom and the left side.
29 x 26 x 7 x 673 x 23 x 843 = 68871550566
Therefore, the lowest common multiple of 754,203,673,667,843 is 68871550566.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
754 x 203 x 673 x 667 x 843 = 57920974026006
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
754 : 1, 2, 13, 26, 29, 58, 377, 754
203 : 1, 7, 29, 203
673 : 1, 673
667 : 1, 23, 29, 667
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,203,673,667,843, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
203:7x 29
673:673
667:23x 29
843:3x 281
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29x 29 = 841
Therefore, the value for common factors is 841.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 57920974026006/(1x841)
LCM = 57920974026006/841
LCM = 68871550566
Thus, we can understand that the LCM of 754,203,673,667,843 is 68871550566.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 754, 203, 673, 667, 843?
Answer: LCM of 754, 203, 673, 667, 843 is 68871550566.
2. How to calculate the LCM of 754, 203, 673, 667, 843?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 754, 203, 673, 667, 843.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.